Asymmetric Bidirectional Controlled Teleportation by Using Nine-Qubit Entangled State in Noisy Environment

Abstract

In this paper, a novel protocol for asymmetric bidirectional controlled quantum teleportation (ABCQT) by using the nine-qubit entangled state as a quantum channel is proposed. Alice transmits an arbitrary three-qubit entangled state to Bob and at the same time, Bob transmits an arbitrary single-qubit entangled state to Alice under the permission of a third party as a controller. This protocol is based on the Hadamard (H) gates, controlled-not (CNOT) operations, appropriate unitary operations, and single-qubit Von Neumann measurements (SM) which are more efficient than multi-qubit joint measurements (JM). This scheme explicitly shows how the channel of nine-qubit entangled state prepares, and it is discussed in six types of noisy scenarios (amplitude-damping, phase-damping, bit-flip, phase-flip, bit-phase-flip, and depolarizing noisy scenarios). Then, we analytically derive the fidelities of the ABCQT process and show that they only depend on the amplitude parameter of the initial state and the decoherence noisy rate. Finally, compared with previous schemes, this scheme also shows remarkable advantages.

Analysis of Vehicle Routing Problem in Presence of Noisy Channels

“…The energy dissipation is a consequence of interaction of quantum system with an amplitude damping channel. In simple terms, a quantum system gaining or loosing energy from or to its environment is described as change in its amplitude or amplitude damping 38,39 probability of gain or loss of amplitude or decoherence rate; the Kraus operators of amplitude damping channel can be described as follows (Eq. 27),…”

“…Bitflip noise is characterised by random bitflip errors 38 with probability 0 ≤ κ B ≤ 1 (say for 0) while the other probability will be 1 − κ B (say for 1). Thus, the Kraus operators of bitflip noise channel can be described as Eq.…”

“…Phaseflip noise alters the phase parameter of quantum system without exchange of energy 38,39 . The decoherence rate or the phaseflip noise parameter also follows the distribution 0 ≤ κ w ≤ 1, thus the Kraus operators of phaseflip noise channel can be defined as Eq.…”

“…Bit-phase flip noise channel is characterised by combination of random bitflip errors along with change in phase information of the quantum system without loss of energy 38 . Similar to other noise channels, the decoherence rate or the combined probability of bit-phase flip error follows the distribution 0 ≤ κ F ≤ 1.…”

Teleportation of an Unknown Four-Qubit Cluster State Based on Cluster States With Minimum Resource

“…In 1993, Bennett et al [13] first proposed quantum teleportation with a Bell pair, which was later demonstrated in an experiment by Bouwmeester et al [14]. Quantum teleportation has been developed rapidly both theoretically [15]- [26] and experimentally [14], [27]- [33]. To satisfy a variety of different quantum communication scenarios, a series of protocols for quantum teleportation have been proposed involving different quantum channels such as Bell states [15]- [18], GHZ states [19], [20], W states [21]- [23], etc.…”